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Finding the Fourth Proportional to 78.93, 118.39 and 42.81

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Solution

The fourth proportional to 78.93, 118.39 and 42.81 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.93 : 118.39 = 42.81 : x
  2. Step 2: Convert to fraction form
    78.93/118.39 = 42.81/x
  3. Step 3: Cross multiply
    78.93x = 118.39 × 42.81
  4. Step 4: Simplify right side
    78.93x = 5,068.28
  5. Step 5: Solve for x
    x = 5,068.28/78.93
  6. Step 6: Final answer
    x = 64.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.